Solved: The yield stress for a zirconium-magnesium alloy

Chapter 10, Problem 10-61

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The yield stress for a zirconium-magnesium alloy is \(\sigma_{Y}=15.3 \mathrm{ksi}\). If a machine part is made of this material and a critical point in the material is subjected to in-plane principal stresses \(\sigma_{1} \text { and } \sigma_{2}=-0.5 \sigma_{1}\), determine the magnitude of \(\sigma_{1}\) that will cause yielding according to the maximum shear stress theory.

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